The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases
Exactly Solvable and Integrable Systems
2015-03-04 v4
Abstract
We consider features of the Hamiltonian formulation of the Whitham method in the presence of pseudo-phases. As we show, an analog of the procedure of averaging of the Poisson bracket with the reduced number of the first integrals can be suggested in this case. The averaged bracket gives a Poisson structure for the corresponding Whitham system having the form similar to the structures arising in the presence of ordinary phases.
Cite
@article{arxiv.1402.3686,
title = {The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases},
author = {A. Ya. Maltsev},
journal= {arXiv preprint arXiv:1402.3686},
year = {2015}
}
Comments
31 pages, latex